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The numerical study of singular shocks regularized by small viscosity

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Publication:1418894
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DOI10.1023/A:1025320412541zbMath1081.35059MaRDI QIDQ1418894

Richard Sanders, Michael Sever

Publication date: 14 January 2004

Published in: Journal of Scientific Computing (Search for Journal in Brave)


zbMATH Keywords

singular shocksviscosity regularizationmeasure valued weak solution


Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65)


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The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach), A numerical scheme for singular shock solutions and a study of its consistence in the sense of distributions, Limits of nonlinear weak asymptotic methods, Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts, Unnamed Item



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